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Dragon curve

From Biocrawler, the free encyclopedia.

Dragon curve
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Dragon curve
The dragon curve can be tiled to fill a plane.
Enlarge
The dragon curve can be tiled to fill a plane.

A dragon curve is a well-known recursively defined fractal curve, similar in vein to the von Koch snowflake.

It can be formed by paper-folding methods and can be written as a Lindenmayer system with

  • initial string FX
  • string rewriting rules
    • X \mapsto X+YF+
    • Y \mapsto -FX-Y
  • angle 90°

Paper folding

You can make a dragon curve by folding a strip of paper always to the same side, and then unfolding it 90 degrees (see below).

External links

es:curva del dragón
Wikipedia (http://en.wikipedia.org/wiki/Main_Page) Dragon_curve (http://en.wikipedia.org/wiki/Dragon_curve) version history (http://en.wikipedia.org/w/index.php?title=Dragon_curve&action=history) GNU Free Documentation Lizenz (http://en.wikipedia.org/wiki/Wikipedia:Text_of_the_GNU_Free_Documentation_License) CC-by-sa (http://creativecommons.org/licenses/by-sa/2.5/)

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